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Search: MSC category 57M50 ( Geometric structures on low-dimensional manifolds )

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1. CMB 2010 (vol 53 pp. 706)

Roberts, R.; Shareshian, J.
 Non-Right-Orderable 3-Manifold Groups We exhibit infinitely many hyperbolic $3$-manifold groups that are not right-orderable. Categories:20F60, 57M05, 57M50

2. CMB 2006 (vol 49 pp. 36)

Daskalopoulos, Georgios D.; Wentworth, Richard A.
 Holomorphic Frames for Weakly Converging Holomorphic Vector Bundles Using a modification of Webster's proof of the Newlander--Nirenberg theorem, it is shown that, for a weakly convergent sequence of integrable unitary connections on a complex vector bundle over a complex manifold, there is a subsequence of local holomorphic frames that converges strongly in an appropriate Holder class. Categories:57M50, 58E20, 53C24

3. CMB 2004 (vol 47 pp. 332)

Charette, Virginie; Goldman, William M.; Jones, Catherine A.
 Recurrent Geodesics in Flat Lorentz $3$-Manifolds Let $M$ be a complete flat Lorentz $3$-manifold $M$ with purely hyperbolic holonomy $\Gamma$. Recurrent geodesic rays are completely classified when $\Gamma$ is cyclic. This implies that for any pair of periodic geodesics $\gamma_1$, $\gamma_2$, a unique geodesic forward spirals towards $\gamma_1$ and backward spirals towards $\gamma_2$. Keywords:geometric structures on low-dimensional manifolds, notions of recurrenceCategories:57M50, 37B20

4. CMB 2003 (vol 46 pp. 265)

Oh, Seungsang
 Reducing Spheres and Klein Bottles after Dehn Fillings Let $M$ be a compact, connected, orientable, irreducible 3-manifold with a torus boundary. It is known that if two Dehn fillings on $M$ along the boundary produce a reducible manifold and a manifold containing a Klein bottle, then the distance between the filling slopes is at most three. This paper gives a remarkably short proof of this result. Keywords:Dehn filling, reducible, Klein bottleCategory:57M50

5. CMB 1997 (vol 40 pp. 204)

Meyerhoff, Robert; Ouyang, Mingqing
 The $\eta$-invariants of cusped hyperbolic $3$-manifolds In this paper, we define the $\eta$-invariant for a cusped hyperbolic $3$-manifold and discuss some of its applications. Such an invariant detects the chirality of a hyperbolic knot or link and can be used to distinguish many links with homeomorphic complements. Categories:57M50, 53C30, 58G25
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